توجه: محتویات این صفحه به صورت خودکار پردازش شده و مقاله‌های نویسندگانی با تشابه اسمی، همگی در بخش یکسان نمایش داده می‌شوند.
۱Ki Lie Symmetry Method for Solutions of Differential Equations with Applications in Physics
نویسنده(ها): ، ،
اطلاعات انتشار: دومین همایش ملی پژوهش های کاربردی در ریاضی و فیزیک، سال
تعداد صفحات: ۱۳
A mathematical method in pure mathematics (differential geometry) for finding solutions of differential equations is considered. The method is based on constructing a Lie algebra associated to a given system of differential equation, called Lie algebra of the symmetries of the given system. This Lie algebra is a vector space which maps a given solution, such as a constant solution, to another solution, it is a significant tool for finding new solution for system of differential equation specially partial differential equations. Then we will apply it to some differential equations in fluid mechanics and physics<\div>
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